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In this paper, we explore the two-point zeroth-order gradient estimator and identify the distribution of random perturbations that minimizes the estimator's asymptotic variance as the perturbation stepsize tends to zero. We formulate it as…

机器学习 · 计算机科学 2025-10-24 Shaocong Ma , Heng Huang

Recent low-thrust space missions have highlighted the importance of designing trajectories that are robust against uncertainties. In its complete form, this process is formulated as a nonlinear constrained stochastic optimal control…

最优化与控制 · 数学 2022-02-25 Naoya Ozaki , Stefano Campagnola , Ryu Funase

Designing lightweight yet stiff structures that can withstand vibrations is a crucial task in structural optimization. Here, we present a novel framework for truss topology optimization under undamped harmonic oscillations. Our approach…

最优化与控制 · 数学 2025-04-21 Shenyuan Ma , Jakub Marecek , Vyacheslav Kungurtsev , Marek Tyburec

We present HIghly Parallelisable Pareto Optimisation (HIPPO) -- a batch acquisition function that enables multi-objective Bayesian optimisation methods to efficiently exploit parallel processing resources. Multi-Objective Bayesian…

机器学习 · 计算机科学 2022-06-28 Andrei Paleyes , Henry B. Moss , Victor Picheny , Piotr Zulawski , Felix Newman

The computationally-efficient solution of multi-objective optimization problems (MOPs) arising in the design of modern electromagnetic (EM) microwave devices is addressed. Towards this end, a novel System-by-Design (SbD) method is developed…

信号处理 · 电气工程与系统科学 2023-04-19 P. Rosatti , M. Salucci , L. Poli , A. Massa

This paper presents a homogenized topology optimization (TO) method for spatially optimizing cell-size distribution of triply-periodic minimal surface (TPMS) structures, with high accuracy in the optimized structural response after…

最优化与控制 · 数学 2026-05-08 Hiroki Kawabe , Kaito Ohtani , Yusibo Yang , Musaddiq Al Ali , Kentaro Yaji

Hyperspectral (HS) unmixing is the process of decomposing an HS image into material-specific spectra (endmembers) and their spatial distributions (abundance maps). Existing unmixing methods have two limitations with respect to noise…

图像与视频处理 · 电气工程与系统科学 2024-03-20 Kazuki Naganuma , Shunsuke Ono

A discrete time control algorithm using the damped least squares is introduced for acceleration and energy exchange controls in nonlinear vibrating systems. It is shown that the damping constant of least squares and sampling time step of…

最优化与控制 · 数学 2011-10-17 V. N. Pilipchuk

This paper presents a systematic approach for computing local solutions to motion planning problems in non-convex environments using numerical optimal control techniques. It extends the range of use of state-of-the-art numerical optimal…

最优化与控制 · 数学 2017-10-03 Kristoffer Bergman , Daniel Axehill

We present a compressive sensing approach for the long standing problem of Matsubara summation in many-body perturbation theory. By constructing low-dimensional, almost isometric subspaces of the Hilbert space we obtain optimum imaginary…

材料科学 · 物理学 2020-06-24 Merzuk Kaltak , Georg Kresse

Hybrid transceiver can strike a balance between complexity and performance of multiple-input multiple-output (MIMO) systems. In this paper, we develop a unified framework on hybrid MIMO transceiver design using matrix-monotonic…

信息论 · 计算机科学 2019-06-26 Chengwen Xing , Xin Zhao , Wei Xu , Xiaodai Dong , Geoffrey Ye Li

In this paper, we formulate an optimization-based control-by-interconnection approach to the stabilization problem of nonlinear port-Hamiltonian systems. Motivated by model predictive control, the feedback is defined as an initial part of a…

最优化与控制 · 数学 2026-02-17 Till Preuster , Hannes Gernandt , Manuel Schaller

In this paper, modelling designing and simulation of a simple voltage amplidyne system is done using robust control theory. In order to increase the performance of the voltage amplidyne system with H optimal control synthesis and H optimal…

系统与控制 · 电气工程与系统科学 2020-09-02 Mustefa Jibril , Messay Tadese , Eliyas Alemayehu Tadese

How heterogeneous multiscale methods (HMM) handle fluctuations acting on the slow variables in fast-slow systems is investigated. In particular, it is shown via analysis of central limit theorems (CLT) and large deviation principles (LDP)…

概率论 · 数学 2016-01-12 David Kelly , Eric Vanden-Eijnden

This paper proposes a nonmonotone proximal quasi-Newton algorithm for unconstrained convex multiobjective composite optimization problems. To design the search direction, we minimize the max-scalarization of the variations of the Hessian…

最优化与控制 · 数学 2023-10-04 Xiaoxue Jiang

We present a new approach to simulating Hamiltonian dynamics based on implementing linear combinations of unitary operations rather than products of unitary operations. The resulting algorithm has superior performance to existing simulation…

量子物理 · 物理学 2018-08-02 Andrew M. Childs , Nathan Wiebe

This paper suggests two novel ideas to develop new proximal variable-metric methods for solving a class of composite convex optimization problems. The first idea is a new parameterization of the optimality condition which allows us to…

最优化与控制 · 数学 2018-12-14 Quoc Tran-Dinh , Liang Ling , Kim-Chuan Toh

We present a new approach to parametric robust controller design, where we compute controllers of arbitrary order and structure which minimize the worst-case $H_\infty$ norm over a pre-specified set of uncertain parameters. At the core of…

最优化与控制 · 数学 2020-04-14 P. Apkarian , M. N. Dao , D. Noll

In this paper, we propose a new robust analysis tool motivated by large-scale systems. The H infinity norm of a system measures its robustness by quantifying the worst-case behavior of a system perturbed by a unit-energy disturbance.…

系统与控制 · 计算机科学 2015-07-10 Seungil You , Nikolai Matni

Though switched dynamical systems have shown great utility in modeling a variety of physical phenomena, the construction of an optimal control of such systems has proven difficult since it demands some type of optimal mode scheduling. In…

最优化与控制 · 数学 2014-02-04 Ramanarayan Vasudevan , Humberto Gonzalez , Ruzena Bajcsy , S. Shankar Sastry